6 papers
Algebraic reduction of certain almost Kaehler manifolds
Paul-Andi Nagy
We study almost Kaehler manifolds whose curvature tensor satisfies the third curvature condition of Gray. We show that the study of manifolds within this class reduces to the study…
The Length of Harmonic Forms on a Compact Riemannian Manifold
Paul-Andi Nagy, Constantin Vernicos
We study dimensional Riemanniann manifolds with harmonic forms of constant length and first Betti number equal to showing that they are 2-steps nilmanifolds with some spe…
The structure of AK_2-manifolds
Paul-Andi Nagy
We study special almost Kaehler manifolds whose curvature tensor satisfies the second curvature condition of Gray. It is shown that for such manifolds, the torsion of the first can…
Torsion in almost Kaehler geometry
Paul-Andi Nagy
We study almost Kähler manifolds whose curvature tensor satisfies the second curvature condition of Gray (shortly ). This condition is interpreted in terms of the fir…
Nearly Kaehler geometry and Riemannian foliations
Paul-Andi Nagy
We consider strict and complete nearly Kaehler manifolds with the canonical Hermitian connection. The holonomy representation of the canonical Hermitian connection is studied. We s…
On nearly Kaehler geometry
Paul-Andi Nagy
We consider complete nearly Kähler manifolds with the canonical Hermitian connection. We prove some metric properties of strict nearly Kähler manifolds and give a sufficient condit…